Answer:
Step-by-step explanation:
Begin by grouping the x terms and the y terms together and separating the constants out.
Now we'll complete the square on those x and y terms. Take half the linear term of each, square it, and add it to both sides. Our linear x term is 2, half of 2 is 1 and 1 squared is 1, so we add that in. Likewise, half the linear y term (which is 8) is 4, and 4 squared is 16, so we add that in, too. Like this:
Doing this gives us the perfect square binomials for each of the x and y terms, and then gives us the radius on the right:
This is a circle with a center of (1, 4) and a radius of 3.
Answer:
x = 3.53 ft
y - 3.53 ft
z = 3.53 ft
Step-by-step explanation:
given details
volume = 44 ft^3
let cardboard dimension is x and y and height be z
we know that area of given cardboard without lid is given as
A = xy + 2xy + 2yz
xyz = 44 ft^3
To minimize area we have
A = xy + 2x (44/xy) + 2y(44/xy)
A = xy + (44/y) + (44/x)
we have
................1
..............2
from 1 and 2
xy(y-x) = 0
xy = 0 or y = x
from geometry of probelem
x ≠ 0 and y ≠ 0
so y = x
x^3 = 44
x = 3.53 ft = y
z = 44/xy = 3.53
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Answer:
The regression equation of the data will be:
Step-by-step explanation:
A simple linear regression equation is used to estimate the value of the dependent variable based upon the independent variable.
The general form of a simple linear regression equation is:
Here,
<em>y</em> = dependent variable
<em>x</em> = independent variable
<em>a</em> = intercept
<em>b</em> = slope
The data is provided for the number of free throws a player makes in a basketball game and the number of points the player scores in the game.
The free throw in a basketball game implies that for every throw shot made the player receives point.
This implies that the points scored are based upon the number of free throws made by a player.
So, the dependent variable is the number of points scored and the independent variable is the number of free throws a player makes.
Then the regression equation of the data will be:
